DIALOGUE TYPES, ARGUMENTATION SCHEMES, AND MATHEMATICAL PRACTICE: DOUGLAS WALTON AND MATHEMATICS

被引：0

作者：

Aberdein, Andrew ^{[1
]}

机构：

[1] Florida Inst Technol, Sch Arts & Commun, Melbourne, FL 32901 USA

来源：

JOURNAL OF APPLIED LOGICS-IFCOLOG JOURNAL OF LOGICS AND THEIR APPLICATIONS | 2021年 / 8卷 / 01期

关键词：

PROOFS; LOGIC;

D O I：

暂无

中图分类号：

B81 [逻辑学（论理学）];

学科分类号：

010104 ; 010105 ;

摘要：

Douglas Walton's multitudinous contributions to the study of argumentation seldom, if ever, directly engage with argumentation in mathematics. Nonetheless, several of the innovations with which he is most closely associated lend themselves to improving our understanding of mathematical arguments. I concentrate on two such innovations: dialogue types (1) and argumentation schemes (2). I argue that both devices are much more applicable to mathematical reasoning than may be commonly supposed.

引用

页码：159 / 182

页数：24

共 50 条

[1] Dialogue types, argumentation schemes, and mathematical practice: Douglas Walton and mathematics
Aberdein, Andrew
[J]. Journal of Applied Logics, 2021, 8 (01): : 159 - 182
[2] Douglas Walton, Dialog Theory for Critical Argumentation
Andone, C.
[J]. ARGUMENTATION, 2008, 22 (02) : 291 - 296
[3] ASPECTS OF WALTON'S THEORY OF ARGUMENTATION SCHEMES
Hansen, Hans, V
[J]. JOURNAL OF APPLIED LOGICS-IFCOLOG JOURNAL OF LOGICS AND THEIR APPLICATIONS, 2021, 8 (01): : 195 - 218
[4] Aspects of Walton’s theory of argumentation schemes
Hansen, Hans V.
[J]. Journal of Applied Logics, 2021, 8 (01): : 195 - 218
[5] Expert Advice and Argumentation: Some Remarks on the Work of Douglas Walton
Frans A. J. Birrer
[J]. Argumentation, 2001, 15 (3) : 267 - 276
[6] Walton's Argumentation Schemes for Presumptive Reasoning: A Critique and Development
J. Anthony Blair
[J]. Argumentation, 2001, 15 (4) : 365 - 379
[7] An Empirical Study of Argumentation Schemes for Deliberative Dialogue
Toniolo, Alice
Norman, Timothy J.
Sycara, Katia
[J]. 20TH EUROPEAN CONFERENCE ON ARTIFICIAL INTELLIGENCE (ECAI 2012), 2012, 242 : 756 - +
[8] Introduction to the Special Issue. Douglas Walton and his Contribution to Argumentation Theory
Macagno, Fabrizio
Toniolo, Alice
[J]. INFORMAL LOGIC, 2022, 42 (01): : 1 - 23
[9] Walton?s types of argumentation dialogues as classroom discourse sequences
Rapanta, Chrysi
Christodoulou, Andri
[J]. LEARNING CULTURE AND SOCIAL INTERACTION, 2022, 36
[10] D. N. Walton, Argumentation Schemes for Presumptive Reasoning
J. Anthony Blair
[J]. Argumentation, 1999, 13 (3) : 338 - 343

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